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Finding the Third Proportional to 325,233.75 and 500,532

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Solution

The third proportional to 325,233.75 and 500,532 is: 770,314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,233.75 : 500,532 = 500,532 : x
  2. Step 2: Convert to fraction form
    325,233.75/500,532 = 500,532/x
  3. Step 3: Cross multiply
    325,233.75x = 500,532 × 500,532
  4. Step 4: Simplify right side
    325,233.75x = 250,532,283,024
  5. Step 5: Solve for x
    x = 250,532,283,024/325,233.75
  6. Step 6: Final answer
    x = 770,314.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.